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Zakharov–Shabat system and hyperbolic pseudoanalytic function theory

✍ Scribed by Viktor G. Kravchenko; Vladislav V. Kravchenko; Sébastien Tremblay


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
116 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis


Abstract

In J. Phys. A: Math. Theor. 2008; 41:65205 a hyperbolic analogue of pseudoanalytic function theory was developed. In the present contribution we show that one of the central objects of the inverse problem method, the Zakharov–Shabat system is closely related to a hyperbolic Vekua equation for which among other results a generating sequence and hence a complete system of formal powers can be constructed explicitly. Copyright © 2009 John Wiley & Sons, Ltd.


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